In this paper we will classify those translation surfaces in E3 involvingpolynomials which are Weingarten surfaces. We analyze Weingarten translationsurfaces satisfying 2aH + bK = 0. We study also other types of translationsurfaces, involving power functions, for which the second Gaussian curvaturevanishes.
展开▼
机译:在本文中,我们将对E3中涉及多项式的Weingarten曲面的平移曲面进行分类。我们分析了满足2aH + bK = 0的Weingarten平移表面。我们还研究了第二种高斯曲率消失的,涉及幂函数的其他类型的平移表面。
展开▼